RootsChat.Com

Distinguish between baptism generally and C of E baptism recorded in the parish registers.  Long before 1800 some children were "baptised" by Nonconformist preachers  (cf Rev James Woodforde, Diary Vol 1  p 212; "He had the Impudence to tell me that he would send [the child] to some Meeting House to be named ..."). For some parishes non-C of E baptisms were more frequent by 1800.  Also, some private baptisms may have been unrecorded; and some children died before they could be baptised, even privately.

A possible way of checking the baptism rate is to compare recorded child burials with recorded baptisms.  I have done this for Louth, Lincolnshire, for burials in the years 1765-9 and concluded that the unbaptised percentage of children buried was 13.9%.  At the time Louth had very few RCs or Nonconformists.

I think that Pheno's comment is technically correct.  The diary of Rev James Woodforde (five volumes - various editions) is a useful source for practice in the late C18.  Woodforde's actions recorded in the diary did not always correspond with what was recorded in the parish register; for example:

Feb 19 1781  "I christened two children, twins, this morning privately at my house, by names Ann and Susanna.  They are two spurious children of one Ann Lillistone ..."  But the register records them as being baptised on 18 March. Presumably this was the date of the public reception into the Church.

The parish clerk would not necessarily know of private baptisms and so might record as a baptism a later ceremony of reception into the church.  No doubt some parish clerks did not understand the difference.

As CD points out, the parliamentary electoral rolls were not the only ones. Both location and the period need to be considered. In towns after the Reform Act 1832 and the Municipal Corporations Act 1835 the qualifications for registration were different.  In my home town most of the local voters on the "burgess rolls" could not qualify for parliamentary voting and some of the parliamentary voters were not qualified for local voting.  Over the years there were various changes eg unmarried women could vote in local elections from 1869, but not in parliamentary elections. 

In England rates were normally paid by the occupier.  For a very long explanation of who was the occupier see chapters 1 and 2 of "Ryde on Rating" the second (1904) edition of which used to downloadable from Google. Members of the occupier's family were not liable.  Owners were generally not liable, but in some circumstances the owners of low value houses were required to pay under the Small Tenements Rating Act 1850 or other legislation. 

For a detailed explanation of rating in a particular town see https://www.louthlincs1838.org.uk/rating-revaluations/

An advertisement in 1742 (Stamford Mercury 25 Feb) referred to the transfer of a licensee to the "White Hind and new Pack-Horse-Inn over-against the Oat-Market in Lincoln".  This suggests that the buildings were next door the each other; but I do not know where the Oat Market was.  Hill's "Georgian Lincoln" is unhelpful.